Slow relaxations and bifurcations of the limit sets of dynamical systems. III. Slow relaxations of a separate semiflow

2011 ◽  
Vol 5 (1) ◽  
pp. 65-72
Author(s):  
A. N. Gorban’ ◽  
V. M. Cheresiz
Keyword(s):  
Dynamical Systems ◽  
Limit Sets ◽  
Slow Relaxations

scholarly journals A non-Borel special alpha-limit set in the square

2021 ◽  
pp. 1-11
Author(s):  
STEPHEN JACKSON ◽  
BILL MANCE ◽  
SAMUEL ROTH
Keyword(s):  
Dynamical Systems ◽  
Limit Set ◽  
Limit Sets ◽  
Unit Square

Abstract We consider the complexity of special $\alpha $ -limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necessarily Borel, even in the case of a surjective map on the unit square. This answers a question posed by Kolyada, Misiurewicz, and Snoha.

scholarly journals A Characterization of theω-Limit Sets of Planar Continuous Dynamical Systems

1998 ◽  
Vol 145 (2) ◽  
pp. 469-488 ◽  
Author(s):  
Francisco Balibrea ◽  
Víctor Jiménez López
Keyword(s):  
Dynamical Systems ◽  
Limit Sets

The limit sets of dynamical systems on spheres

1996 ◽  
Vol 26 (9) ◽  
pp. 1565-1572
Author(s):  
Jann-Long Chern ◽  
Sze-Guang Yang
Keyword(s):  
Dynamical Systems ◽  
Limit Sets

scholarly journals On metric properties of limit sets of contractive analytic non-Archimedean dynamical systems

2014 ◽  
Vol 414 (1) ◽  
pp. 386-401 ◽  
Author(s):  
Weiyuan Qiu ◽  
Yuefei Wang ◽  
Jinghua Yang ◽  
Yongchen Yin
Keyword(s):  
Dynamical Systems ◽  
Limit Sets ◽  
Metric Properties
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